Quadratic Problems - Projectile Motion
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Videos, worksheets, solutions, and activities to help Algebra students learn about quadratic word problems that involves projectile motion.
Word problems that involve quadratic equations often describe situations involving areas, projectile motion, or other scenarios where a squared term appears. Here are several examples and solutions:
The following diagram gives the steps to solve a projectile motion word problem that involves quadratics. Scroll down the page for examples and step-by-step solutions.
Word Problems Using Quadratic Equations
Quadratic Word Problems
Geometry Word Problems
Projectile Motion
How to solve projectile motion word problems using quadratic equations?
Solving projectile problems with quadratic equations
Example: A projectile is launched from a tower into the air with initial velocity of 48 feet per second. Its height, h, in feet, above the ground is modeled by the function
h = -16t2 + v0t + 64
where t is the time, in seconds, since the projectile was launched and v0 is the initial velocity.
(a) How long is the projectile in the air?
(b) When did it reach its maximum height?
(c) What was its maximum height?
Solving a Projectile Problem Using Quadratics
Example: Larry throws a rock in the air. The height, h, in feet above the ground is given by h = -16t2 + 123t + 40. How long is the rock in the air?
Example: Ellen kicks a stone off the edge of a tall cliff. The distance, d, between the rock and the ground t seconds after being kicked is d = -16t2 - 6t + 480. How many seconds elapse before the rock is at height of 424 ft above the ground?
Example: A ball is kicked in the air. The height of the ball, d, after t seconds is given by d = -16t2 + 36t + 9. How long is the ball in the air to the nearest hundredth of a second?
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